214k views
3 votes
What is the prime factorization of 15552

User Turanga
by
5.4k points

1 Answer

0 votes

We see it's a multiple of 2 and a multiple of 9 because the sum of the digits is 18.


Let's take out the factors of 2 and 3 and see what's left.


15552/2 = 7776


7776/2 = 3888


3888/2 = 1944


1944/2 = 972


972/2 = 486


486/2 = 243


243/3 = 81 = 3(3)(3)(3)


Putting it together,



15552 = 2^(6) 3^(5)



User Arjunsingh
by
6.0k points